MinT - Information on Result #855342

Information on Result #855342

Linear OOA(9¹⁴⁹, 103, F₉, 2, 81) (dual of [(103, 2), 57, 82]-NRT-code), using OOA 2-folding based on linear OA(9¹⁴⁹, 206, F₉, 81) (dual of [206, 57, 82]-code), using

discarding factors / shortening the dual code based on linear OA(9¹⁴⁹, 207, F₉, 81) (dual of [207, 58, 82]-code), using
- concatenation of two codes [i] based on
  1. linear OA(81⁴⁰, 69, F₈₁, 40) (dual of [69, 29, 41]-code or 69-arc in PG(39,81)), using
    - discarding factors / shortening the dual code based on linear OA(81⁴⁰, 81, F₈₁, 40) (dual of [81, 41, 41]-code or 81-arc in PG(39,81)), using
      - Reedâ€“Solomon code RS(41,81) [i]
  2. linear OA(9¹, 3, F₉, 1) (dual of [3, 2, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(9¹, s, F₉, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
      - parity-check code [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.